102021211101001 has 2 divisors, whose sum is σ = 102021211101002. Its totient is φ = 102021211101000.

The previous prime is 102021211100989. The next prime is 102021211101037. The reversal of 102021211101001 is 100101112120201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82091772323401 + 19929438777600 = 9060451^2 + 4464240^2 .

It is a cyclic number.

It is not a de Polignac number, because 102021211101001 - 2²⁹ = 102020674230089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102021211101091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51010605550500 + 51010605550501.

It is an arithmetic number, because the mean of its divisors is an integer number (51010605550501).

Almost surely, 2^{102021211101001} is an apocalyptic number.

It is an amenable number.

102021211101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102021211101001 is an equidigital number, since it uses as much as digits as its factorization.

102021211101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102021211101001 its reverse (100101112120201), we get a palindrome (202122323221202).

The spelling of 102021211101001 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred one thousand, one".